Use our free GCF of Fractions Calculator tool to compute the GCF of 220/241, 455/342 i.e 5/82422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 220/241, 455/342.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/241,455/342
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 220/241,455/342, numerators are 220,455
Denominators are 241,342
The GCF of 220,455 is 5 .
LCM of 241,342 is 82422.
The greatest common factor of 220/241,455/342 = [GCF of 220,455]/[LCM of 241,342]= 5/82422
Therefore, the GCF of 220/241,455/342 is 5/82422.
To find the highest common factor of 220,455, we have to find the factors of both numbers and list the highest common factor.
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The HCF of 220,455 is 5.
Lets's calculate GCF of 220,455
5 | 220, 455 |
44, 91 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 220,455 . The biggest common factor number is the GCF number.
So the greatest common factor 220,455 is 5.
Lets's calculate LCM of 241,342
Given numbers has no common factors except 1. So, there LCM is their product i.e 82422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/82422
Therefore, the GCF of Fractions 220/241,455/342 is 5/82422
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 241,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,342) x common factors =1 x 1 = 1
LCM(241,342) = ( 241 × 342 ) / 1
LCM(241,342) = 82422 / 1
LCM(241,342) = 82422
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 220,455?
The HCF of 220,455 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 220/241, 455/342?
Answer: GCF of Numerators as per given numbers 220/241, 455/342 is
GCF of Numerators i.e. for 220,455 is 5
LCM of denominators i.e. for 241,342 is 82422.
Thus, GCF of Fractions is 5/82422.Finally, GCF of Fractions for 220/241, 455/342 is 5/82422.